Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (10): 1123-1130.

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NUMERICAL ANALYSIS OF LONGTIME DYNAMIC BEHAVIOR IN WEAKLY DAMPED FORCED KdV EQUATION

TIAN Li-xin1, CHU Zhi-jun2, LIU Zeng-rong3, JIANG Yong4   

  1. 1. Department of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang 212013, P. R. China;
    2. Department of Mathematics, Wuxi University of Light and Industry, Wuxi 214036, P. R. China;
    3. Department of Mathematics, Shanghai University, Shanghai 201800, P. R. China;
    4. Department of Mathematics, Nanjing University of Science and Technology, Nanjing 210000, P. R. China
  • Received:1999-05-17 Revised:2000-05-10 Online:2000-10-18 Published:2000-10-18
  • Supported by:
    the National Natural Science Foundation of China(19601020,19872044);the Youth Science and Technology Foundation of Jiangsu Province(BQ98023,BK97119);the Jiangsu Province Blue-Green Foundation

Abstract: The numerical analysis of the approximate inertial manifold in weakly damped forced KdV equation is given. The results of numerical analysis under five models is the same as that of nonlinear spectral analysis.

Key words: periodic boundary conditions, partial differential equation, dynamical systems, soliton/approximate inertial manifold

2010 MSC Number: 

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